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3-2.Motion in Plane
easy
Two particles having mass $M$ and $m$ are moving in a circular path having radius $R$ and $r$. If their time period are same then the ratio of angular velocity will be
A$1$
B$\frac{ r }{ R }$
C$\frac{R}{r}$
D$\sqrt{\frac{R}{r}}$
(AIPMT-2001)
Solution
As $\omega=\frac{2 \pi}{T}$
$\omega \propto \frac{1}{T}$
$\frac{\omega_1}{\omega_2}=\frac{T_2}{T_1}$
$T_1=T_2$
$\frac{\omega_1}{\omega_2}=1$
$\omega \propto \frac{1}{T}$
$\frac{\omega_1}{\omega_2}=\frac{T_2}{T_1}$
$T_1=T_2$
$\frac{\omega_1}{\omega_2}=1$
Standard 11
Physics
